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Finding the Fourth Proportional to 561.99, 843.09 and 387.03

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Solution

The fourth proportional to 561.99, 843.09 and 387.03 is: 580.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.99 : 843.09 = 387.03 : x
  2. Step 2: Convert to fraction form
    561.99/843.09 = 387.03/x
  3. Step 3: Cross multiply
    561.99x = 843.09 × 387.03
  4. Step 4: Simplify right side
    561.99x = 326,301.12
  5. Step 5: Solve for x
    x = 326,301.12/561.99
  6. Step 6: Final answer
    x = 580.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.